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Finding the Fourth Proportional to 306.48, 422.92 and 222.50

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Solution

The fourth proportional to 306.48, 422.92 and 222.50 is: 307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 422.92 = 222.50 : x
  2. Step 2: Convert to fraction form
    306.48/422.92 = 222.50/x
  3. Step 3: Cross multiply
    306.48x = 422.92 × 222.50
  4. Step 4: Simplify right side
    306.48x = 94,098.66
  5. Step 5: Solve for x
    x = 94,098.66/306.48
  6. Step 6: Final answer
    x = 307.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.